We are given a drawing of a rectangular garden in a scale. We know that the perimeter of a drawn rectangle is 14 inches. Let w be the width of the rectangle.
Let's start by finding the width of a drawn rectangle. We know that a perimeter is a sum of all side lengths. We also know that the perimeter is equal to 14. We can write the equation and solve it for w.
Now, that we know all side lengths of the drawn rectangular garden, we can find the side lengths of a real garden. We will also use the information that the actual length of AB is 20 feet.
Because the figures are similar, the ratio of the corresponding side measures is constant. Therefore, to find the missing side measure we will set up a proportion.
AB/A'B' = BC/B'C'
Now, we can substitute the side lengths into the proportion and solve it for B'C'.
We know that two sides of the garden are 15 feet long and two sides are 20 feet long. Let's find the perimeter of the garden.
20 + 20 + 15 + 15 = 70
The perimeter of a garden equals 70 feet. This means that mrs. Henderson will need 70 feet of fencing.
